OCR FP3 2014 June — Question 4

Exam BoardOCR
ModuleFP3 (Further Pure Mathematics 3)
Year2014
SessionJune
TopicGroups

4 The group \(G\) consists of the set \(\{ 1,3,7,9,11,13,17,19 \}\) combined under multiplication modulo 20.
  1. Find the inverse of each element.
  2. Show that \(G\) is not cyclic.
  3. Find two isomorphic subgroups of order 4 and state an isomorphism between them.